Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion
A disc shaped body (having a hole as shown in the figure) of mass m =10 ~kg and radius R = 10 9 ~m is performing pure rolling motion on a rough horizontal surface. In the figure point O is geometrical center of the disc and at this instant the centre of mass C of the disc is at same horizontal level with O . The radius of gyration of the disc about an axis passing through C and perpendicular to the plane of the disc
Correct answer
6
Step-by-step solution
considering torque of real and pseudo force in the frame of P , aligned & =m g R 2 +m ^2 R R 2 & =m g R 2 +m g R R R 2 =m g R & I_p=m ( R 2 )^2+m (R^2+ R^2 4 )= 3 2 m R^2 & = 2 m g R 3 m R^2 = 2 g 3 R =6 rad / s ^2 aligned